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Finding the Fourth Proportional to 580.21, 800.07 and 491.35

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Solution

The fourth proportional to 580.21, 800.07 and 491.35 is: 677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.21 : 800.07 = 491.35 : x
  2. Step 2: Convert to fraction form
    580.21/800.07 = 491.35/x
  3. Step 3: Cross multiply
    580.21x = 800.07 × 491.35
  4. Step 4: Simplify right side
    580.21x = 393,114.39
  5. Step 5: Solve for x
    x = 393,114.39/580.21
  6. Step 6: Final answer
    x = 677.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.